A torque wrench used in the final assembly of cylinder heads has a process standard deviation of 5.0 lb-ft. The engineers have specified that a process average of 135 lb-ft is desirable. For a simple random sample of 30 nuts that the machine has recently tightened, the sample mean is 137.0 lb-ft. Construct and interpret the 95% confidence interval for the current process mean. Discuss the possibility that the machine may be in need of adjustment to correct the process mean.